Abstract
We show that nonlinearly elastic plates of thickness h → 0 with an e-periodic structure such that e^2 h → 0 exhibit non-standard behaviour in the asymptotic two-dimensional reduction from three-dimensional elasticity: in general, their effective stored-energy density is “discontinuously anisotropic” in all directions. The proof relies on a new result concerning an additional isometric constraint that deformation fields must satisfy on the microscale.
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